Finding the Third Proportional to 382,816.50 and 587,607

Step by Step Solution

1. Step 1: Write the proportion equation
   382,816.50 : 587,607 = 587,607 : x
2. Step 2: Convert to fraction form
   382,816.50/587,607 = 587,607/x
3. Step 3: Cross multiply
   382,816.50x = 587,607 × 587,607
4. Step 4: Simplify right side
   382,816.50x = 345,281,986,449
5. Step 5: Solve for x
   x = 345,281,986,449/382,816.50
6. Step 6: Final answer
   x = 901,951.68